21 is going to be your answer
Answer:
Perpendicular line y = (- 8/3)x - 76/3.
Parallel line y = (3/8)x - 1
Step-by-step explanation:
y = 3/8
x + 3
1) Perpendicular line has negative reciprocal slope.
m = - 8/3
y = (- 8/3)x + b
Point (-8, - 4)
- 4 = (- 8/3)*(-8) + b
-4 - 64/3 = b
b = - 76/3
y = (- 8/3)x - 76/3
2) Parallel line has the same slope.
m = 3/8
y = (3/8)x + b
Point (-8, -4)
- 4 = (3/8)*(- 8) + b
- 4 + 3 = b
b = - 1
y = (3/8)x - 1
The ratio of one triangle to the other (because they are similar, since the top angles are both 44 degrees and the two sides on the other sides of them are the same) is 12:8, or 3:2.
So therefore, we can say it's 9:6, so DE is 6.
Answer:
0.86
Step-by-step explanation:
Draw the triangle.
Since ∠J=90°, this is a right triangle, so we can use SOH-CAH-TOA to find sin∠I.
sin∠I = 56/65
sin∠I = 0.86
Hey there! I'm happy to help!
Let's call this number n. Here is the info we can write about it. Remember that to write as a percent as a decimal you divide by 100.
n-0.16n=159.6
We combine like terms.
0.84n=159.6
We divide both sides by 0.84
n=190
Have a wonderful day! :D
